Existence of common fixed points of non-linear semigroups of Enriched Kannan contractive mappings
Sayantan Panja, Mantu Saha, Ravindra K. Bisht
Abstract
In this article, we consider the non-linear semigroup of \textit{enriched Kannan} contractive mapping and prove the existence of common fixed point on a non-empty closed convex subset $\mathcal C$ of a real Banach space $\mathscr X$, having uniformly normal structure.
Topics & Concepts
MathematicsFixed pointSemigroupRegular polygonBanach spaceDiscrete mathematicsPure mathematicsCombinatoricsMathematical analysisGeometryFixed Point Theorems AnalysisOptimization and Variational AnalysisNonlinear Differential Equations Analysis